|国家预印本平台
首页|Triangulation complexity and systolic volume of hyperbolic manifolds

Triangulation complexity and systolic volume of hyperbolic manifolds

Triangulation complexity and systolic volume of hyperbolic manifolds

来源:Arxiv_logoArxiv
英文摘要

Let $M$ be a closed $n$-manifold with nonzero simplicial volume. A central result in systolic geometry from Gromov is that systolic volume of $M$ is related to its simplicial volume. In this short note, we show that systolic volume of hyperbolic manifolds is related to triangulation complexity. The proof is based on J{\o}rgensen and Thurston's theorem of hyperbolic volume.

Lizhi Chen

数学

Lizhi Chen.Triangulation complexity and systolic volume of hyperbolic manifolds[EB/OL].(2021-09-19)[2025-07-23].https://arxiv.org/abs/2109.09194.点此复制

评论